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Simplifying 3z + 66 = z + 32 Reorder the terms: 66 + 3z = z + 32 Reorder the terms: 66 + 3z = 32 + z Solving 66 + 3z = 32 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 66 + 3z + -1z = 32 + z + -1z Combine like terms: 3z + -1z = 2z 66 + 2z = 32 + z + -1z Combine like terms: z + -1z = 0 66 + 2z = 32 + 0 66 + 2z = 32 Add '-66' to each side of the equation. 66 + -66 + 2z = 32 + -66 Combine like terms: 66 + -66 = 0 0 + 2z = 32 + -66 2z = 32 + -66 Combine like terms: 32 + -66 = -34 2z = -34 Divide each side by '2'. z = -17 Simplifying z = -17
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